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Finding the Fourth Proportional to 510,107.66, 703,934.05 and 280,665.10

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Solution

The fourth proportional to 510,107.66, 703,934.05 and 280,665.10 is: 387,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,107.66 : 703,934.05 = 280,665.10 : x
  2. Step 2: Convert to fraction form
    510,107.66/703,934.05 = 280,665.10/x
  3. Step 3: Cross multiply
    510,107.66x = 703,934.05 × 280,665.10
  4. Step 4: Simplify right side
    510,107.66x = 197,569,720,976.61
  5. Step 5: Solve for x
    x = 197,569,720,976.61/510,107.66
  6. Step 6: Final answer
    x = 387,309.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.